A Variationally Consistent Approach to Constrained Motion

Author:

Foster John T.1

Affiliation:

1. Department of Petroleum and Geosystems Engineering, Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712 e-mail:

Abstract

A variationally consistent approach to constrained rigid-body motion is presented that extends D'Alembert's principle in a way that has a form similar to Kane's equations. The method results in minimal equations of motion for both holonomic and nonholonomic systems without a priori consideration of preferential coordinates.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference15 articles.

1. Exemple du mouvement d'un systeme assujetti à une liason exprimée par une relation non linéaires entre des composantes de la vitesse;Rend. Circ. Mat. Palermo,1911

2. Nonholonomic Constraints and Gauss's Principle of Least Constraint;Am. J. Phys.,1972

3. Di alcune nuove forme delle equazioni della Dinamica applicabili ai systemi anolonomi;Atti della Reale Accademia dei Lincei, Rendiconti, Classe di scienze fisiche, matematiche e naturali, Seria 5,1901

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